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Simplifying 0.3(x + -1) + -0.16(3x + -5) = 2x + 3 Reorder the terms: 0.3(-1 + x) + -0.16(3x + -5) = 2x + 3 (-1 * 0.3 + x * 0.3) + -0.16(3x + -5) = 2x + 3 (-0.3 + 0.3x) + -0.16(3x + -5) = 2x + 3 Reorder the terms: -0.3 + 0.3x + -0.16(-5 + 3x) = 2x + 3 -0.3 + 0.3x + (-5 * -0.16 + 3x * -0.16) = 2x + 3 -0.3 + 0.3x + (0.8 + -0.48x) = 2x + 3 Reorder the terms: -0.3 + 0.8 + 0.3x + -0.48x = 2x + 3 Combine like terms: -0.3 + 0.8 = 0.5 0.5 + 0.3x + -0.48x = 2x + 3 Combine like terms: 0.3x + -0.48x = -0.18x 0.5 + -0.18x = 2x + 3 Reorder the terms: 0.5 + -0.18x = 3 + 2x Solving 0.5 + -0.18x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.5 + -0.18x + -2x = 3 + 2x + -2x Combine like terms: -0.18x + -2x = -2.18x 0.5 + -2.18x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 0.5 + -2.18x = 3 + 0 0.5 + -2.18x = 3 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -2.18x = 3 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -2.18x = 3 + -0.5 -2.18x = 3 + -0.5 Combine like terms: 3 + -0.5 = 2.5 -2.18x = 2.5 Divide each side by '-2.18'. x = -1.146788991 Simplifying x = -1.146788991
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